If $R$ is the set of all real numbers, what do the cartesian products $R \times R$ and $R \times R \times R$ represent?
If $R$ is the set of all real numbers, what do the cartesian products $R \times R$ and $R \times R \times R$ represent?
The Cartesian product $R \times R$ represents the set $R \times R =\{(x, y): x, y \in R \}$ which represents the coordinates of all the points in two dimensional space and the cartesian product $R \times R \times R$ represents the set $R \times R \times R =\{(x, y, z): x, y, z \in R \}$ which represents the coordinates of all the points in three-dimensional space.
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